High-order vanishing ideals at \(n+3\) points of \(\mathbb{P}^n\)

DOI10.1016/S0022-4049(99)00125-5zbMath0971.14038MaRDI QIDQ1582733

Clare D'Cruz, Anthony A. Iarrobino

Publication date: 4 November 2001

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

Hilbert functionhigh-order vanishing idealsMacaulay dual problem

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Jacobians, Prym varieties (14H40) Families, fibrations in algebraic geometry (14D99)

Related Items (1)

Sagbi bases of Cox-Nagata rings

Cites Work

• Thin algebras of embedding dimension three
• Higher infinitesimal neighbourhoods
• Fat points on rational normal curves
• Hilbert series for ideals generated by generic forms
• Inverse system of a symbolic power. I
• Hilbert series of a quotient algebra of polynomials
• An inequality for Hilbert series of graded algebras.
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